As shown in the figure below the two planes PQ and QR are having shear stress of 40 MPa. The plane PQ carries the tensile stress of 60 MPa. Find the value of normal and shear stress on the plane PR if the angle between the plane PR and QR is 60°. 40 MPa R 60° 40 MPa 60 MPa P

Determine the average axial tensile stress in the bar of the figure below if P=225 kN and the cross sectional area of the bar is 2500 square mm

For the stress block shown, what is OP2 if OP1 = 140 MPa (T)? A.60 MPa (T) 40 MPa B.60 MPa (C) C.20 MPa (C) D.20 MPa (T) Txy Which among the following is ALWAYS TRUE about the maximum in-plane shear stress? A.It acts on planes 450 from principal planes. B.It is equal to the absolute maximum shear stress. C.It is equal to the principal stress with higher magnitude. D.It acts on planes with zero normal stress. 120 MPa

q10At a point in a two dimensional stress system, the normal stress on two mutually perpendicular planes are o and o and shear stress is t One of the principal stresses will become zero when the value of shear stress Txy is (a) ±(0) (c) ±/0 +0yy (d) +/oo yy

Problem 4 : For the shown Mohr circle: (a) What is the state of stress at the reference point A. Sketch the element at A. (b) Determine the principal normal stresses and their orientation. Show the results on a properly oriented element (c) Determine maximum in-plane shear stress and its orientation. Show the results on a properly oriented element A 20 40 60 80 100 Ở, ksi 20 40 -60

Problem 2: The stresses shown act at a point on the free surface off a stressed body. a) Determine the principal stresses and the maximum in-plane shear stress acting at the point b) Show these stresses in an appropriate sketch. c) Determine the normal stresses on and ot and the shear stress Tnt that act on the rotated stress element. 53 MPa 16 MPa 47 MPa 35⁰

6. Three forces, each of magnitude P= 5 kN, are applied to the structure shown. Determine the cross-sectional area of the uniform portion of rod BE for which the normal stress in that portion is +100 MPa. 0.100 m E IP P C 0.150 m 0.300 m 0.250 m The cross-sectional area of the uniform portion of rod BE is mm2.

3. For the given state of stress, determine the principal planes, the principal stresses, the max shear stress. You must use Mohr's Circle. 20 MPa 32 MPa 55 MPa

Principal stress: 01,2 Ox+0y tan20, = Txy 2 (Ox-0y)/2 2 maximum in-plane shear stress: Tmax *) : + Txy? tan20s -(0x-0y)/2 Ox+0y σανg Txy 2 The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Show your work. 57 MPa 28 MPa 42 MPa

2.25. A system consists of two rigid end-plates, tied together by three horizontal bars as shown in Fig. 2-42. Through a fabrication error, the central bar, ②2, is 0.0005L too short. All bars are of identical cross section and of steel having E = 210 GPa. Find the stress in each bar after the system has mechanically been pulled together so that the gap A is closed. Ans σ-35 MPa σ = 70 MPa Fig. 2-42